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A New Refinement of Jensen's Inequality in Linear Spaces with Applications

Dragomir, Sever S (2009) A New Refinement of Jensen's Inequality in Linear Spaces with Applications. Research report collection, 12 (Supp).

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Abstract

A new refinement of Jensen’s celebrated inequality for functions defined on convex sets in linear spaces is given. Applications for norms, mean f-deviation and f-divergences are provided as well.

Item Type: Article
Uncontrolled Keywords: convex functions, Jensen's inequality, norms, mean f-deviation, f-divergences
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 09 Feb 2012 20:51
Last Modified: 24 May 2013 04:12
URI: http://vuir.vu.edu.au/id/eprint/17965
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